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A072089 Permutation of natural numbers induced by the automorphism gt-df->bf (switch from the Depth First to the Breadth First coding for the general trees/parenthesizations) acting on the parenthesizations encoded by A014486. 9
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 19, 16, 17, 18, 15, 20, 21, 22, 23, 24, 25, 26, 27, 28, 33, 30, 31, 32, 29, 34, 35, 36, 37, 39, 51, 56, 52, 42, 53, 44, 45, 46, 43, 48, 49, 50, 38, 60, 47, 54, 61, 40, 57, 58, 59, 41, 55, 62, 63, 64, 65, 66, 67, 68, 69, 70, 75 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

When restricted to the subset of plane binary trees, produces the automorphism A057118 and being "self-embeddable", this allows us also to construct the permutation A072620 (A072622). [See comment at A072088].

LINKS

Table of n, a(n) for n=0..71.

A. Karttunen, Gatomorphisms (Includes the complete Scheme program for computing this sequence)

Index entries for sequences that are permutations of the natural numbers

CROSSREFS

Inverse permutation: A072088. Cf. also A014486, A057118, A072620.

Sequence in context: A302140 A039698 A078107 * A072088 A023768 A023795

Adjacent sequences:  A072086 A072087 A072088 * A072090 A072091 A072092

KEYWORD

nonn

AUTHOR

Antti Karttunen, Jun 25 2002

STATUS

approved

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Last modified October 17 18:58 EDT 2019. Contains 328127 sequences. (Running on oeis4.)